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Finding the Fourth Proportional to 27,258.52, 40,903.64 and 11,462.40

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Solution

The fourth proportional to 27,258.52, 40,903.64 and 11,462.40 is: 17,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258.52 : 40,903.64 = 11,462.40 : x
  2. Step 2: Convert to fraction form
    27,258.52/40,903.64 = 11,462.40/x
  3. Step 3: Cross multiply
    27,258.52x = 40,903.64 × 11,462.40
  4. Step 4: Simplify right side
    27,258.52x = 468,853,883.14
  5. Step 5: Solve for x
    x = 468,853,883.14/27,258.52
  6. Step 6: Final answer
    x = 17,200.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.